8227946880 has 192 divisors, whose sum is σ = 28605798000. Its totient is φ = 2179166208.

The previous prime is 8227946861. The next prime is 8227946887. The reversal of 8227946880 is 886497228.

8227946880 is a `hidden beast` number, since 82 + 27 + 9 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8227946887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853447 + ... + 863033.

Almost surely, 2^8227946880 is an apocalyptic number.

8227946880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8227946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302899000).

8227946880 is an abundant number, since it is smaller than the sum of its proper divisors (20377851120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8227946880 is a wasteful number, since it uses less digits than its factorization.

8227946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8227946880 is about 90708.0309564704. The cubic root of 8227946880 is about 2018.8179602090.

The spelling of 8227946880 in words is "eight billion, two hundred twenty-seven million, nine hundred forty-six thousand, eight hundred eighty".